Pelin Guven Geredeli, UNL Qualitative Properties of Evolutionary Partial Differential Equations

Date: Time: 4:00 pm–4:50 pm
Avery Hall Room: 115 Avery
Additional Info: AVH
Contact: George Avalos, gavalos2@unl.edu
In this talk, we shall discuss our recent research on various classes of linear and nonlinear partial differential equations (PDE’s). There will be a focus here on results which deal with (i) Hadamard wellposedness and (ii) long-time behavior of PDE solutions with respect to our wellposedness results. We will highlight our various approaches to a given problem, including non-standard Galerkin methods, and various PDE techniques which are subsequent to our continuous semigroup formulations.

In discussing our results in long time behavior of PDE solutions, we will feature our work on: (i) derived global attractor theory for nonlinear parabolic PDE processes, and hyperbolic plate and beam PDE under nonlinear boundary dissipation, (ii) stability properties of various coupled systems of linear PDE of different type- i.e., hyperbolic vs. parabolic.

Additional Public Info:
Hosted by George Avalos

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